Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The area bounded by y = ln x, the x - axis and the ordinates x = 0 and x = 1 is : 

Options:

1

\(\frac{3}{2}\)

- 1

None of these

Correct Answer:

1

Explanation:

Area = - \(\int_{0}^{1}d\)x y 

        = - \(\int_{0}^{1}d\)x ln x 

        = |(x - x ln x)|\(_0^1\)

        = 1